With modern societys increasing dependence on Global Navigation Satellite System(GNSS), the potential harm caused by spoofing attacks on GNSS is also increasing. In order to effectively resist possible spoofing threats, a series of anti-spoofing algorithms have been developed. The Receiver Autonomous Integrity Monitoring(RAIM) is a commonly used anti-spoofing method and has been widely used in various fields. The algorithm exploits the consistency among satellites and utilizes the transmit time of each navigation signal to perform spoofing detection. However, RAIM only focuses on the code phase information of the navigation signal and does not utilize the carrier portion. In some scenarios, it is feasible and effective to utilize the information held in the carrier. In this paper, carrier doppler check are integrated with RAIM by using time-domain difference method, which makes the algorithm applicable to more spoofing scenarios. Simulation and field test verify the effectiveness of the algorithm in different spoofing scenarios.